0=2x^2-64x+1157

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Solution for 0=2x^2-64x+1157 equation:


Simplifying
0 = 2x2 + -64x + 1157

Reorder the terms:
0 = 1157 + -64x + 2x2

Solving
0 = 1157 + -64x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -1157 = -1157
-1157 + 64x + -2x2 = 1157 + -64x + 2x2 + -1157 + 64x + -2x2

Reorder the terms:
-1157 + 64x + -2x2 = 1157 + -1157 + -64x + 64x + 2x2 + -2x2

Combine like terms: 1157 + -1157 = 0
-1157 + 64x + -2x2 = 0 + -64x + 64x + 2x2 + -2x2
-1157 + 64x + -2x2 = -64x + 64x + 2x2 + -2x2

Combine like terms: -64x + 64x = 0
-1157 + 64x + -2x2 = 0 + 2x2 + -2x2
-1157 + 64x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1157 + 64x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
578.5 + -32x + x2 = 0

Move the constant term to the right:

Add '-578.5' to each side of the equation.
578.5 + -32x + -578.5 + x2 = 0 + -578.5

Reorder the terms:
578.5 + -578.5 + -32x + x2 = 0 + -578.5

Combine like terms: 578.5 + -578.5 = 0.0
0.0 + -32x + x2 = 0 + -578.5
-32x + x2 = 0 + -578.5

Combine like terms: 0 + -578.5 = -578.5
-32x + x2 = -578.5

The x term is -32x.  Take half its coefficient (-16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
-32x + 256 + x2 = -578.5 + 256

Reorder the terms:
256 + -32x + x2 = -578.5 + 256

Combine like terms: -578.5 + 256 = -322.5
256 + -32x + x2 = -322.5

Factor a perfect square on the left side:
(x + -16)(x + -16) = -322.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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